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When the positive integer x is divided by 4, is the remainder equal to
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12 Nov 2014, 08:48

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1

When the positive integer x is divided by 4, is the remainder equal to 3?

(1) When x/3 is divided by 2, the remainder is 1.

(2) x is divisible by 5.

1) something divided by 3, divided by 2, is basically saying divided by 6 (no?). if the remainder is 1 this can be 1, 7, 13, 19, etc. when you divide these by 4 you get r1, r3, r1, r3. Insufficient as it depends on the number X.

Re: When the positive integer x is divided by 4, is the remainder equal to
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12 Nov 2014, 09:25

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revul wrote:

When the positive integer x is divided by 4, is the remainder equal to 3?

(1) When x/3 is divided by 2, the remainder is 1.

(2) x is divisible by 5.

1) something divided by 3, divided by 2, is basically saying divided by 6 (no?). if the remainder is 1 this can be 1, 7, 13, 19, etc. when you divide these by 4 you get r1, r3, r1, r3. Insufficient as it depends on the number X.

When the positive integer x is divided by 4, is the remainder equal to
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31 Dec 2015, 18:38

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took a little over 2 mins just because I wanted to double check if everything is all right.

1. x can be 1, 7, 13, etc. so remainder is different each time. 1 alone is insufficient.A and D - out.2. x can be 5, 10, 15, 20, etc - so remainder is different each time. 2 alone is insufficient.B - out.

1+2x can be 25 or 55, and remainder thus 1 or 3. 1+2 insufficient, and C is out.

Re: When the positive integer x is divided by 4, is the remainder equal to
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20 Oct 2018, 04:35

Bunuel wrote:

revul wrote:

When the positive integer x is divided by 4, is the remainder equal to 3?

(1) When x/3 is divided by 2, the remainder is 1.

(2) x is divisible by 5.

1) something divided by 3, divided by 2, is basically saying divided by 6 (no?). if the remainder is 1 this can be 1, 7, 13, 19, etc. when you divide these by 4 you get r1, r3, r1, r3. Insufficient as it depends on the number X.

When x/3 is divided by 2, the remainder is 1 should be expressed as x/3 = 2q + 1 --> x = 6q + 3. So, x can be 3, 9, 15, ... For all those values, x/3 (1, 3, 5, ...) divided by 2 yields the remainder of 1.

Hi Bunnel,

I understood the solution to this problem.However,I have a query.

When I solved statement I got numbers as 3,9,15,21,27,33...and statement 2 being multiples of 5

Do we really have to go further till 45 as second multiple..How do you figure that out..I didnt check for further mutiples post 33 and so ended up with wrong option.(Since it left me with 15 as the only possible element after combing statemnt 1 and 2)

Please help!!

gmatclubot

Re: When the positive integer x is divided by 4, is the remainder equal to &nbs
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20 Oct 2018, 04:35